Assume that the population grows exponentially, that is, according to the law
N(t) = N0ekt.

At the start of an experiment, 3000 bacteria are present in a colony. Two hours later, the population is 4900. (Assume t is in hours.)
(a) Determine the growth constant k. (Round your answer to four decimal places.)
k =

(b) Determine the population five hours after the start of the experiment. (Round your answer to the nearest whole number.)

(c) When will the population reach 10,000? (Round your answer to the nearest whole number.)